Jos'e Matias

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math.AP2026

Structured Deformations in Linearized Elasticity

Manuel Friedrich, José Matias, Elvira Zappale

We extend the theory of structured deformations to the setting of linearized elasticity by providing an integral representation for the underlying energy that features bulk and sur…

math.AP2025

Lower semicontinuity of nonlocal $L^{\infty}$ energies on $S B V_{0} (I)$

Jose Matias, Pedro M. Santos, Elvira Zappale

We characterize the lower-semicontinuity of nonlocal one-dimensional energies of the type \[{\rm ess}\!\!\!\!\!\!\!\!\sup_{(s,t) \in I\times I} h([u](s), [u](t)),\] where $I$ is an…

Structured Deformations in Linearized Elasticity

Lower semicontinuity of nonlocal L∞ energies on SBV0​(I)

Lower semicontinuity of nonlocal $L^{\infty}$ energies on $S B V_{0} (I)$